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What would this be I don’t get it

What would this be I don’t get it-example-1
User Prosseek
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1 Answer

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Since BE bisects angle ABC, you know that angles ABE and EBC are congruent and have the same measure. This means

2x + 20 = 4x - 6

Solve for x:

(2x + 20) - 2x + 6 = (4x - 6) - 2x + 6

26 = 2x

26/2 = 2x/2

13 = x

Then angle ABE has measure 2*13 + 20 = 46º.

User Trevor Johnson
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4.4k points